{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Authors: Yijun Wang, Owen Xu\n",
    "# Datetime: 2020/02/15 12:00\n",
    "\n",
    "# Assumption\n",
    "### Assume homogeneous features across cities. Real life situations such as medical shortage that defers the time of confirm or even fail to confirm infectious individuals unevenly across cities would make the forecast biased. \n",
    "### Assume the start of the epidemic in Wuhan is on Dec 1, 2019 and the rest of the cities is Jan 23, 2020\n",
    "### Except for Wuhan, assume the number of infectious on Jan 23, 2020 is equivalent to the confirm counts on Jan 23, 2020\n",
    "### Assume that infected individuals were not infectious during the incubation period (Zhou, 2020)\n",
    "### Assume close environment for each individual city\n",
    "### Assume population growth and death rate are zero\n",
    "\n",
    "# Parameter value\n",
    "### Initial R0 takes the value of 3.0, while research varies from 2.2 to 3.8\n",
    "### Current or trending R0 refers to model \"Estimation of R0\" at datetime 8:42 am 02-14-2020\n",
    "### Wuhan population refers to https://baijiahao.baidu.com/s?id=1656943894281117716&wfr=spider&for=pc\n",
    "### Beijing population refers to Beijing Population. (2019-05-12). Retrieved 2020-02-14, from http://worldpopulationreview.com/world-cities/beijing/\n",
    "### Shanghai population refers to Shanghai Population. (2019-05-12). Retrieved 2020-02-14, from http://worldpopulationreview.com/world-cities/shanghai/\n",
    "\n",
    "# Data\n",
    "### API from BlankerL and data comes from Ding Xiang Yuan"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# R0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>infectSource</th>\n",
       "      <th>passWay</th>\n",
       "      <th>dailyPic</th>\n",
       "      <th>dailyPics</th>\n",
       "      <th>summary</th>\n",
       "      <th>countRemark</th>\n",
       "      <th>currentConfirmedCount</th>\n",
       "      <th>confirmedCount</th>\n",
       "      <th>suspectedCount</th>\n",
       "      <th>curedCount</th>\n",
       "      <th>...</th>\n",
       "      <th>generalRemark</th>\n",
       "      <th>abroadRemark</th>\n",
       "      <th>marquee</th>\n",
       "      <th>quanguoTrendChart</th>\n",
       "      <th>hbFeiHbTrendChart</th>\n",
       "      <th>updateTime</th>\n",
       "      <th>t</th>\n",
       "      <th>date</th>\n",
       "      <th>days</th>\n",
       "      <th>R0</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>该字段已替换为说明2</td>\n",
       "      <td>该字段已替换为说明3</td>\n",
       "      <td>https://img1.dxycdn.com/2020/0211/763/33959988...</td>\n",
       "      <td>[https://img1.dxycdn.com/2020/0211/763/3395998...</td>\n",
       "      <td></td>\n",
       "      <td></td>\n",
       "      <td>56642</td>\n",
       "      <td>66580</td>\n",
       "      <td>8969</td>\n",
       "      <td>8414</td>\n",
       "      <td>...</td>\n",
       "      <td>疑似病例数来自国家卫健委数据，目前为全国数据，未分省市自治区等</td>\n",
       "      <td></td>\n",
       "      <td>[{'id': 422, 'marqueeLabel': '公告', 'marqueeCon...</td>\n",
       "      <td>[{'imgUrl': 'https://img1.dxycdn.com/2020/0215...</td>\n",
       "      <td>[{'imgUrl': 'https://img1.dxycdn.com/2020/0215...</td>\n",
       "      <td>1581766807231</td>\n",
       "      <td>2020-02-15 11:40:07.230999947</td>\n",
       "      <td>2020-02-15</td>\n",
       "      <td>76.819528</td>\n",
       "      <td>2.379789</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 37 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "  infectSource     passWay                                           dailyPic  \\\n",
       "0   该字段已替换为说明2  该字段已替换为说明3  https://img1.dxycdn.com/2020/0211/763/33959988...   \n",
       "\n",
       "                                           dailyPics summary countRemark  \\\n",
       "0  [https://img1.dxycdn.com/2020/0211/763/3395998...                       \n",
       "\n",
       "   currentConfirmedCount  confirmedCount  suspectedCount  curedCount  ...  \\\n",
       "0                  56642           66580            8969        8414  ...   \n",
       "\n",
       "                     generalRemark  abroadRemark  \\\n",
       "0  疑似病例数来自国家卫健委数据，目前为全国数据，未分省市自治区等                 \n",
       "\n",
       "                                             marquee  \\\n",
       "0  [{'id': 422, 'marqueeLabel': '公告', 'marqueeCon...   \n",
       "\n",
       "                                   quanguoTrendChart  \\\n",
       "0  [{'imgUrl': 'https://img1.dxycdn.com/2020/0215...   \n",
       "\n",
       "                                   hbFeiHbTrendChart     updateTime  \\\n",
       "0  [{'imgUrl': 'https://img1.dxycdn.com/2020/0215...  1581766807231   \n",
       "\n",
       "                              t        date       days        R0  \n",
       "0 2020-02-15 11:40:07.230999947  2020-02-15  76.819528  2.379789  \n",
       "\n",
       "[1 rows x 37 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load data\n",
    "import requests\n",
    "import pandas as pd\n",
    "\n",
    "url = 'https://lab.isaaclin.cn/nCoV/api/overall?latest=1'\n",
    "r = requests.request('GET', url)\n",
    "data = r.json()\n",
    "df = pd.DataFrame.from_records(data['results'])\n",
    "from datetime import datetime\n",
    "import pandas\n",
    "\n",
    "# date\n",
    "df['t'] = pandas.to_datetime(df['updateTime']/1000,unit='s')\n",
    "import datetime\n",
    "df['date'] = df['t'].dt.date\n",
    "\n",
    "# days: 疾病已爆发时间\n",
    "import datetime\n",
    "df['days'] = (df['updateTime']/1000 - datetime.datetime(2019,12,1,0,0,0).timestamp())/60/60/24\n",
    "\n",
    "# generation time\n",
    "Tg = 7.5\n",
    "# latent period\n",
    "Tl = 3\n",
    "# infectious period\n",
    "Ti = Tg - Tl\n",
    "# calculate R0\n",
    "import math\n",
    "def R0Func(confirm, suspect,t):\n",
    "    # confirm是确诊人数；susp是疑似人数；t是疾病已爆发时间\n",
    "    # p为疑似病例转化为确诊病例的概率\n",
    "    p = 0.695\n",
    "    # rho is the over incubation period over generation time\n",
    "    rho = Tl/Tg\n",
    "    # yt为实际预估感染人数\n",
    "    yt = suspect * p + confirm\n",
    "    # lamda为早期指数增长的增长率\n",
    "    lamda = math.log(yt)/t    \n",
    "    R0 = 1 + lamda * Tg + rho * (1 - rho) * pow(lamda * Tg,2)   \n",
    "    return R0\n",
    "\n",
    "df['R0'] = df.apply(lambda x: R0Func(x['confirmedCount'], x['suspectedCount'], x['days']), axis = 1)\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SEIR\n",
    "### Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.integrate as spi\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from pandas.plotting import register_matplotlib_converters\n",
    "register_matplotlib_converters()\n",
    "\n",
    "# differential equations\n",
    "def SEIR(inivalue, _):\n",
    "    Y = np.zeros(4)\n",
    "    X = inivalue\n",
    "    # dS/dt\n",
    "    Y[0] = - (beta * X[0] * X[2]) / N\n",
    "    # dE/dt\n",
    "    Y[1] = (beta * X[0] * X[2]) / N - X[1] / Tg\n",
    "    # dI/dt\n",
    "    Y[2] = X[1] / Tg - gamma * X[2]\n",
    "    # dR/dt\n",
    "    Y[3] = gamma * X[2]\n",
    "    return Y\n",
    "# T为传播时间\n",
    "T = 300\n",
    "Time = np.arange(0, T + 1)\n",
    "# R0 is basic reproduction number\n",
    "from pandas import DataFrame\n",
    "R0 = df.iloc[len(df)-1,df.shape[1]-1]\n",
    "\n",
    "# beta is effective contact rate \n",
    "def betaFunc(R0 = R0, Ti = Ti):\n",
    "    return R0/Ti\n",
    "# gamma is removal rate\n",
    "def gammaFunc(Tg = Tg):\n",
    "    return 1/Tg\n",
    "gamma = gammaFunc()\n",
    "\n",
    "# create dates\n",
    "from datetime import date\n",
    "import datetime\n",
    "start_day_wuhan = date(2019, 12, 1)\n",
    "dates_wuhan = [start_day_wuhan + datetime.timedelta(n) for n in range(T + 1)]\n",
    "\n",
    "start_day = date(2020, 1, 23)\n",
    "dates = [start_day + datetime.timedelta(n) for n in range(T + 1)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Wuhan Trending"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.3797887189661946 0.5288419375480432 1734367.859710823 93 2020-03-03\n"
     ]
    }
   ],
   "source": [
    "# R0 is basic reproduction number\n",
    "from pandas import DataFrame\n",
    "R0 = df.iloc[len(df)-1,df.shape[1]-1]\n",
    "# beta is effective contact rate\n",
    "beta = betaFunc(R0)\n",
    "N = 9000000\n",
    "I = 86\n",
    "INI = (N, 0, I, 0)\n",
    "# solve the system of differential equations\n",
    "RES = spi.odeint(SEIR, INI, Time)\n",
    "\n",
    "plt.plot(dates_wuhan, RES[:,0],color = 'darkblue',label = 'Susceptible')\n",
    "plt.plot(dates_wuhan, RES[:,1],color = 'orange',label = 'Exposed')\n",
    "plt.plot(dates_wuhan, RES[:,2],color = 'red',label = 'Infection')\n",
    "plt.plot(dates_wuhan, RES[:,3],color = 'green',label = 'Recovery')\n",
    "\n",
    "plt.title('API from BlankerL and Data from Ding Xiang Yuan')\n",
    "plt.suptitle('SEIR Forecast: Wuhan Trending')\n",
    "plt.legend()\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Number')\n",
    "plt.xticks(rotation=90)\n",
    "plt.show()\n",
    "\n",
    "print(R0, beta, max(RES[:,2]),np.argmax(RES[:,2]), start_day_wuhan + datetime.timedelta(int(np.argmax(RES[:,2]))))\n",
    "# plt.savefig('wuhan.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# wuhan n/2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.3797887189661946 0.5288419375480432 335692.2625504966 192 2020-06-10\n"
     ]
    }
   ],
   "source": [
    "R0 = df.iloc[len(df)-1,df.shape[1]-1]\n",
    "beta = betaFunc(R0)\n",
    "RES = spi.odeint(SEIR, (4500000, 0, 86, 0), Time)\n",
    "\n",
    "plt.plot(dates_wuhan, RES[:,0],color = 'darkblue',label = 'Susceptible')\n",
    "plt.plot(dates_wuhan, RES[:,1],color = 'orange',label = 'Exposed')\n",
    "plt.plot(dates_wuhan, RES[:,2],color = 'red',label = 'Infection')\n",
    "plt.plot(dates_wuhan, RES[:,3],color = 'green',label = 'Recovery')\n",
    "\n",
    "plt.title('API from BlankerL and Data from Ding Xiang Yuan')\n",
    "plt.suptitle('SEIR Forecast: Wuhan Trending')\n",
    "plt.legend()\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Number')\n",
    "plt.xticks(rotation=90)\n",
    "plt.show()\n",
    "\n",
    "print(R0, beta, max(RES[:,2]),np.argmax(RES[:,2]), start_day_wuhan + datetime.timedelta(int(np.argmax(RES[:,2]))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# wuhan I/2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.3797887189661946 0.5288419375480432 1735272.8862999086 80 2020-02-19\n"
     ]
    }
   ],
   "source": [
    "R0 = df.iloc[len(df)-1,df.shape[1]-1]\n",
    "beta = betaFunc()\n",
    "RES = spi.odeint(SEIR, (9000000, 0, 86/2, 0), Time)\n",
    "\n",
    "plt.plot(dates_wuhan, RES[:,0],color = 'darkblue',label = 'Susceptible')\n",
    "plt.plot(dates_wuhan, RES[:,1],color = 'orange',label = 'Exposed')\n",
    "plt.plot(dates_wuhan, RES[:,2],color = 'red',label = 'Infection')\n",
    "plt.plot(dates_wuhan, RES[:,3],color = 'green',label = 'Recovery')\n",
    "\n",
    "plt.title('API from BlankerL and Data from Ding Xiang Yuan')\n",
    "plt.suptitle('SEIR Forecast: Wuhan Trending')\n",
    "plt.legend()\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Number')\n",
    "plt.show()\n",
    "\n",
    "print(R0, beta, max(RES[:,2]), np.argmax(RES[:,2]), start_day_wuhan + datetime.timedelta(int(np.argmax(RES[:,2]))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# wuhan beta/2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.1898943594830973 0.2644209687740216 671406.7527047297 205 2020-06-23\n"
     ]
    }
   ],
   "source": [
    "# beta is effective contact rate\n",
    "beta = betaFunc(R0)/2\n",
    "R0 = beta * Ti\n",
    "# solve the system of differential equations\n",
    "RES = spi.odeint(SEIR, INI, Time)\n",
    "\n",
    "plt.plot(dates_wuhan, RES[:,0],color = 'darkblue',label = 'Susceptible')\n",
    "plt.plot(dates_wuhan, RES[:,1],color = 'orange',label = 'Exposed')\n",
    "plt.plot(dates_wuhan, RES[:,2],color = 'red',label = 'Infection')\n",
    "plt.plot(dates_wuhan, RES[:,3],color = 'green',label = 'Recovery')\n",
    "\n",
    "plt.title('API from BlankerL and Data from Ding Xiang Yuan')\n",
    "plt.suptitle('SEIR Forecast: Wuhan Trending')\n",
    "plt.legend()\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Number')\n",
    "plt.show()\n",
    "\n",
    "print(R0, beta, max(RES[:,2]),np.argmax(RES[:,2]), start_day_wuhan + datetime.timedelta(int(np.argmax(RES[:,2]))))\n",
    "#plt.savefig('wuhan.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Guangzhou Trending"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.3797887189661946 0.5288419375480432 4241082.688534465 119 2020-05-21\n"
     ]
    }
   ],
   "source": [
    "N = 22000000\n",
    "R0 = df.iloc[len(df)-1,df.shape[1]-1]\n",
    "beta = betaFunc()\n",
    "RES = spi.odeint(SEIR, (22000000, 0, 7, 0), Time)\n",
    "\n",
    "plt.plot(dates, RES[:,0],color = 'darkblue',label = 'Susceptible')\n",
    "plt.plot(dates, RES[:,1],color = 'orange',label = 'Exposed')\n",
    "plt.plot(dates, RES[:,2],color = 'red',label = 'Infection')\n",
    "plt.plot(dates, RES[:,3],color = 'green',label = 'Recovery')\n",
    "\n",
    "plt.title('API from BlankerL and Data from Ding Xiang Yuan')\n",
    "plt.suptitle('API from BlankerL and Data from Ding Xiang Yuan')\n",
    "plt.suptitle('SEIR: Guangzhou Trending')\n",
    "plt.legend()\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Number')\n",
    "plt.show()\n",
    "\n",
    "print(R0, beta, max(RES[:,2]),np.argmax(RES[:,2]), date(2020,1,23) + datetime.timedelta(int(np.argmax(RES[:,2]))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Beijing Trending"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.3797887189661946 0.5288419375480432 3943645.2231713305 109 2020-05-11\n"
     ]
    }
   ],
   "source": [
    "N = 20462610\n",
    "R0 = df.iloc[len(df)-1,df.shape[1]-1]\n",
    "beta = betaFunc()\n",
    "INI = (20462610, 0, 26, 0)\n",
    "RES = spi.odeint(SEIR, INI, Time)\n",
    "\n",
    "plt.plot(dates, RES[:,0],color = 'darkblue',label = 'Susceptible')\n",
    "plt.plot(dates, RES[:,1],color = 'orange',label = 'Exposed')\n",
    "plt.plot(dates, RES[:,2],color = 'red',label = 'Infection')\n",
    "plt.plot(dates, RES[:,3],color = 'green',label = 'Recovery')\n",
    "\n",
    "plt.title('API from BlankerL and Data from Ding Xiang Yuan')\n",
    "plt.suptitle('SEIR Forecast: Beijing Trending')\n",
    "plt.legend()\n",
    "plt.xlabel('Day')\n",
    "plt.ylabel('Number')\n",
    "plt.show()\n",
    "\n",
    "print(R0, beta, max(RES[:,2]),np.argmax(RES[:,2]), date(2020,1,23) + datetime.timedelta(int(np.argmax(RES[:,2]))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Shanghai Trending"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.3797887189661946 0.5288419375480432 5213689.953632764 114 2020-05-16\n"
     ]
    }
   ],
   "source": [
    "N = 27058479\n",
    "R0 = df.iloc[len(df)-1,df.shape[1]-1]\n",
    "beta = betaFunc()\n",
    "INI = (27058479, 0, 16, 0)\n",
    "RES = spi.odeint(SEIR, INI, Time)\n",
    "\n",
    "plt.plot(dates, RES[:,0],color = 'darkblue',label = 'Susceptible')\n",
    "plt.plot(dates, RES[:,1],color = 'orange',label = 'Exposed')\n",
    "plt.plot(dates, RES[:,2],color = 'red',label = 'Infection')\n",
    "plt.plot(dates, RES[:,3],color = 'green',label = 'Recovery')\n",
    "\n",
    "plt.title('API from BlankerL and Data from Ding Xiang Yuan')\n",
    "plt.suptitle('SEIR Forecast: Shanghai Trending')\n",
    "plt.legend()\n",
    "plt.xlabel('Day')\n",
    "plt.ylabel('Number')\n",
    "plt.show()\n",
    "\n",
    "print(R0, beta, max(RES[:,2]),np.argmax(RES[:,2]), date(2020,1,23) + datetime.timedelta(int(np.argmax(RES[:,2]))))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
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